10 papers
Sasaki with torsion manifolds and string backgrounds
Beatrice Brienza, Anna Fino, Udhav Fowdar +1
Motivated by the analogy with the Bismut connection in Hermitian geometry, we study Sasaki with torsion manifolds. In particular, we characterize co-Kähler-like and flat Sasaki wit…
$\del\delbar$-Lemma and Bott-Chern cohomology of twistor spaces
Anna Fino, Gueo Grantcharov, Nicoletta Tardini +2
In the paper we study the Bott-Chern and Aeppli cohomologies of the twistor space of a compact self-dual 4-manifold and we characterize the validity of the $\partial \overline \par…
On the structure of compact strong HKT manifolds
Beatrice Brienza, Anna Fino, Gueo Grantcharov +1
We study the geometry of compact strong HKT and, more generally, compact BHE manifolds. We prove that any compact BHE manifold with full holonomy must be Kähler and we establish a…
On the nu-invariant of two-step nilmanifolds with closed G2-structure
Anna Fino, Gueo Grantcharov, Giovanni Russo
For every non-vanishing spinor field on a Riemannian spin seven-manifold, Crowley, Goette, and Nordström defined the so-called -invariant. This is an integer modulo that…
-Kähler structures on fibrations and reductive Lie groups
Anna Fino, Gueo Grantcharov, Asia Mainenti
We investigate the existence of -Kähler structures on two classes of complex manifolds: on quasi-regular fibrations, with particular emphasis on complex homogeneous spaces, and…
New Solutions to the Hull-Strominger System via torus fibrations over orbifolds
Anna Fino, Gueo Grantcharov, Jose Medel
Using torus fibrations over K3 orbisurfaces, we construct new smooth solutions to the Hull-Strominger system. These manifolds arise as total spaces of principal (orbi)b…